Internet Radio as digital source

An easy +1 for the Bluesound Node 2i.  Used is in your price range, plus it has it's own decent DAC built in.  It can stream all the popular subscriptions if you want later (Tidal, Qobuz, Spotify, Deezer etc) and it hooks up either by direct cable or wifi to your router.  Free Bluesound app gets you free internet radio and the fidelity is outstanding.

We all started knowing nothing and I think we sometimes forget that.  Here's the Bluesound Node2i hookup for beginners.  
Plug the Node analog outs into your stereo.  
If you are using wifi, you're done.
If you are wiring direct to your router instead of wifi, hook that cable up.  You're done.
Plug the Node in.
Download the BluesSound app to your phone, tablet or computer.  Give it the password to your router.  It will automatically connect with the Node.  
You're done.
Use the app to select radio.  Everything is done through the app.  Sit back and enjoy.

What has been suggested by Wlutke  is 100 percent right as per me. 
BlueSound Node 2i is the best for enthusiastic beginners ( in digital streaming)  yet who seek and enjoy audiophile quality. 
You don't need to spend seperately for a device to receive high quality internet radio.